collaborators

5 papers

math.CV2026

-- estimates for Shimorin-type integral operators

Yuerang Li, Zipeng Wang, Kenan Zhang

Let be a positive measure on . A Shimorin-type operator is an integral operator on the unit disk given by \[ T_νf(z) = \int_{\mathbb{D}} \frac{1}{1 - z\overline…

math.FA2026

The weak-type (1,1) estimate of the -Harmonic Bergman projection

Kenan Zhang

In this note, the author recalls the Calderon-Zygmund theory on the unit ball and derives the weak (1,1) boundedness of the projection for -harmonic Bergman space.

math.FA2025

Hypercontractive inequalities and Nikol'ski\uı-type inequalities on weighted Bergman spaces

Zipeng Wang, Kenan Zhang

In this note, we obtianed hypercontractive inequalities between different weighted Bergman spaces. In addition, we establish Nikol'ski\uı-type inequalities for weighted Bergman sp…

math.FA2025

The one-weight inequality for -harmonic Bergman projection

Kunyu Guo, Zipeng Wang, Kenan Zhang

Let be an integer. For the Bekollé-Bonami weight on the real unit ball , we obtain the following sharp one-weight estimate for the -…

math.FA2025

Weighted inequality of integral operators induced by Hardy kernels

Zipeng Wang, Kenan Zhang

For doubling weights, we obtain a necessary and sufficient condition such that the one weighted inequality of the integral operator induced by Hardy kernels on the unit disk holds.…